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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"    "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en"><head>	<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1" />	<style type="text/css">	body { font-family: Verdana, Arial, Helvetica, sans-serif;}	a.at-term {	font-style: italic; }	</style>	<title>Interlude: Serial Solution to Laplace's Equation</title>	<meta name="Generator" content="ATutor">	<meta name="Keywords" content=""></head><body> <h3>Chapter Objectives:</h3>

<p>The objectives on this chapter are to
  <ol>
    <li><p>Introduce Laplace's equation in two dimensions as a model problem for the numerical solution of partial differential equations.</p>
</li>
    <li>
<p>Describe two implementations of a solution for <em><a href="../glossary.html#Laplace%27s+equation" target="body" class="at-term">Laplace's equation</a></em>, one suited to vector architectures and another suited to cache-based microprocessor architectures.</p>
</li>
    <li>
<p>Demonstrate the performance of these implementations on a variety of hardware platforms.</p>
</li>
  </ol>
</p></body></html>

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